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Its the same thing right? Or is there a slight difference? I just wanna make sure I'm not misunderstanding anything.
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Answer. Boolean duals are generated by simply replacing ANDs and ORs and ORs with ANDs . The complements themselves are unaffected , where as the complement of an expression is the negation of the variables with the replacement of ANDs with ORs and vice versa .
The dual of a Boolean expression is the expression one obtains by interchanging addition and multiplication and interchanging 0's and 1's. The dual of the function F is denoted Fd. Theorem 1.6.
Note− The complement of complement of any Boolean variable is equal to the variable itself. i.e., x′'=x.
The dual of a Boolean expression is obtained by interchanging sums and products and interchanging 0 and 1. For example, the dual of xy +1 is (x + y) · 0 Duality principle: the Boolean identity remains valid when both sides are replaced by their duals.
Boolean duals are generated by simply replacing ANDs with ORs and ORs with ANDs. The complements themselves are unaffected, where as the complement of an expression is the negation of the variables WITH the replacement of ANDs with ORs and vice versa.
Consider:
A+B Complement: A'B'
Dual: AB
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